In the given circuit, the AC source has `(omega) = 100 rad//s`. Considering the inductor and capacitor to be ideal, the correct choice(s) is (are)
.

Options

A. The current through the circuit, `I` is `0.3 A`
B. The current through the circuit, `I` is `0.3sqrt(2)A`
C. The voltage across `100Omega` resistor `10sqrt(2)V`
D. The voltage across `50Omega` resistor `=10V`

Answer

C

Explanation

`tanphi_(1)=X_(C )/R_(1)=1`
`tan phi_(2)=X_(L)/R_(2)=1`
`:. Phi_(1)=45^(@)`
`:. Phi_(2)=45^(@)`
`I_(1)=20/sqrt(X_(c )^(2)+R_(1)^(2))=1/(5sqrt(2))`
`I_(2)=20/sqrt(X_(L)^(2)+R_(2)^(2))=2/(5sqrt(2))`
`:. I=sqrt(I_(1)^(2)+I_(2)^(2))=1/sqrt(10)`
`V_(L)=I_(2)X_(L)=100sqrt(2), V_(c )=I_(1) Xc=10sqrt(2)`